{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:AJMU4LF44LUJUQCVALMIOWCY3Y","short_pith_number":"pith:AJMU4LF4","schema_version":"1.0","canonical_sha256":"02594e2cbce2e89a405502d8875858de20fb3acdc2550cac93fc421dab3e4bb7","source":{"kind":"arxiv","id":"quant-ph/0506268","version":1},"attestation_state":"computed","paper":{"title":"Feedback stabilization of quantum ensembles: a global convergence analysis on complex flag manifolds","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Claudio Altafini","submitted_at":"2005-06-30T15:26:01Z","abstract_excerpt":"In an N-level quantum mechanical system, the problem of unitary feedback stabilization of mixed density operators to periodic orbits admits a natural Lyapunov-based time-varying feedback design. A global description of the domain of attraction of the closed-loop system can be provided based on a ``root-space''-like structure of the space of density operators. This convex set foliates as a complex flag manifold where each leaf is identified with the coadjoint orbit of the eigenvalues of the density operator. The converging conditions are time-independent but depend from the topology of the flag"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"quant-ph/0506268","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-06-30T15:26:01Z","cross_cats_sorted":[],"title_canon_sha256":"014c56690f2106811b2259b7df43b7f42ecb6c5d9b9d38f2bb6abb64cf9d10f8","abstract_canon_sha256":"8b8a897e74555431d9b1b2df644a7c75134b7a206185c6c4ea7b6ed8d2e4e8cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:53.835304Z","signature_b64":"S/smYmDfkatU9uTUFrZ1W4oEeOs0yKdEJcbAUf54mOLTaDy15ddGyNsJRXfLrLhw1SaPeBXJSWlbM0MUc8mIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02594e2cbce2e89a405502d8875858de20fb3acdc2550cac93fc421dab3e4bb7","last_reissued_at":"2026-05-18T00:06:53.834708Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:53.834708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Feedback stabilization of quantum ensembles: a global convergence analysis on complex flag manifolds","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Claudio Altafini","submitted_at":"2005-06-30T15:26:01Z","abstract_excerpt":"In an N-level quantum mechanical system, the problem of unitary feedback stabilization of mixed density operators to periodic orbits admits a natural Lyapunov-based time-varying feedback design. A global description of the domain of attraction of the closed-loop system can be provided based on a ``root-space''-like structure of the space of density operators. This convex set foliates as a complex flag manifold where each leaf is identified with the coadjoint orbit of the eigenvalues of the density operator. The converging conditions are time-independent but depend from the topology of the flag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0506268","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0506268","created_at":"2026-05-18T00:06:53.834823+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0506268v1","created_at":"2026-05-18T00:06:53.834823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0506268","created_at":"2026-05-18T00:06:53.834823+00:00"},{"alias_kind":"pith_short_12","alias_value":"AJMU4LF44LUJ","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"AJMU4LF44LUJUQCV","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"AJMU4LF4","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y","json":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y.json","graph_json":"https://pith.science/api/pith-number/AJMU4LF44LUJUQCVALMIOWCY3Y/graph.json","events_json":"https://pith.science/api/pith-number/AJMU4LF44LUJUQCVALMIOWCY3Y/events.json","paper":"https://pith.science/paper/AJMU4LF4"},"agent_actions":{"view_html":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y","download_json":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y.json","view_paper":"https://pith.science/paper/AJMU4LF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0506268&json=true","fetch_graph":"https://pith.science/api/pith-number/AJMU4LF44LUJUQCVALMIOWCY3Y/graph.json","fetch_events":"https://pith.science/api/pith-number/AJMU4LF44LUJUQCVALMIOWCY3Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y/action/storage_attestation","attest_author":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y/action/author_attestation","sign_citation":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y/action/citation_signature","submit_replication":"https://pith.science/pith/AJMU4LF44LUJUQCVALMIOWCY3Y/action/replication_record"}},"created_at":"2026-05-18T00:06:53.834823+00:00","updated_at":"2026-05-18T00:06:53.834823+00:00"}